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What are the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:32:32, colon, 3?
A) 2 1/5, 1/5
B) 2 1/4, 1/4
C) 3 3/4, 3/4
D) 3 3/5, 3/5


Sagot :

The coordinate of C is (2, 1.8)

Let the coordinates of A and C be (2, 1) and (2, 4). If the line AC is divided into the ratio of 2:3. This coordinate of C is given as:

Get the coordinate of X;

X = ax1+bx2/a+b

X = 2(2)+3(2)/2+3

X = (4+6)/5

X = 10/5

X = 2

Get the coordinate of Y:

Y = ay1+by2/a+b

Y = 2(1)+3(4)/2+3

Y = (2+12)/5

Y = 14/5

Y = 1.8

Hence the coordinate of C is (2, 1.8)

Learn more on midpoint here; https://brainly.com/question/5566419

Answer:

A) 2 1/5, 1/5

Step-by-step explanation:

A) 2 1/5, 1/5

ratio is- 2/3

m/n is ratio

so

m=2

n=3

mx(2) + nx(1) / m+n = x coordinate

my(2) + my(1)/m+n= y coordinate

you get 2 1/5 and 1/5

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